{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import cv2\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show(image):\n",
    "    plt.imshow(image)\n",
    "    plt.axis('off')\n",
    "    plt.show()\n",
    "    \n",
    "def imread(image):\n",
    "    image = cv2.imread(image)\n",
    "    image = cv2.cvtColor(image,cv2.COLOR_BGR2RGB)\n",
    "    return image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZbJSBXg8xsFM3I4MmFpVAjSLtaJ5mE9erR53h5FWnOLNj2D19gnNnn+w1bKLU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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1610d4ee630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = imread('image.jpg')\n",
    "M = np.float32([[1,0,250],[0,1,500]])\n",
    "shifted = cv2.warpAffine(image, M, (image.shape[1],image.shape[0]))\n",
    "show(shifted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ppw/U2uZ4SZXXTpQqj8jIsgwbpNdnNr9HZgBjUYKyNJpUecR8ZpdCG+v/z0pm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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1610d52c780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = imread('image.jpg')\n",
    "M = np.float32([[1,0,-250],[0,1,-500]])\n",
    "shifted = cv2.warpAffine(image, M, (image.shape[1],image.shape[0]))\n",
    "show(shifted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
